Application of General Orthogonal Polynomials to Fast Simulation of Nonlinear Descriptor Systems Through Piecewise-Linear Approximation

In this letter, we report an approach combining piecewise-linear (PWL) approximation with general orthogonal polynomials to efficiently simulate large nonlinear descriptor systems in time-domain. The main idea of this approach is first to approximate a nonlinear function by a piecewise-linear representation. Then, using the recursive formulae of general orthogonal polynomials, orthonormal bases can be produced for fast simulation of the PWL model. The effectiveness of our approach is demonstrated on two nonlinear circuit models.